Answer the following questions on the nature of geometrical statements:
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
Answer the following questions on the nature of geometrical statements:
(i) Define (a) a postulate (axiom) and (b) a theorem.
(ii) State the statement about right angles that is accepted without proof in Euclidean geometry.
(iii) Explain why the statement mentioned in part (ii) is treated as a postulate rather than established as a theorem.